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The function s(t) describes the motion of a particle along a line.s(t)= t 14t+ 22(a)...

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The function s(t) describes the motion of a particle along a line.s(t)= t 14t+ 22(a) Find the velocity function v(t) of the particle at any time t? 0.(b) Identify the time interval(s) in which the particle is moving in a positive direction. (Enter your answer using interval notation.)(c) Identify the time interval(s) on which the particle is moving in a negative direction. (Enter your answer using interval notation.)(d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.)

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